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Chapter 30: Q. 34 (page 871)

What value of resistorRgives the circuit in FIGURE EX30.34a time constant of25渭蝉?

Short Answer

Expert verified

Value of resistor with time constant25渭蝉 is750惟.

Step by step solution

01

Formula for current decays and equivalent resistance

In a circuit, current decays through an inductor, and the time constant is given by

蟿=LReq..........1

Reqis the circuit's equivalent resistance

localid="1648830639011" Req=L蟿......2

02

Calculation for resistance value

L=7.5脳10-3H

t=25脳10-6s

All values should be substituted,

Req=L蟿=7.5脳10-325脳10-6s=300惟

The two resistors 500惟and RThey are linked in a series.

Simultaneously, the corresponding resistance is equal to

R=1Req-1500惟-1

=1300惟-1500惟-1

=750惟

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